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Finding the Fourth Proportional to 17,904.57, 24,710.57 and 10,830.97

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Solution

The fourth proportional to 17,904.57, 24,710.57 and 10,830.97 is: 14,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.57 : 24,710.57 = 10,830.97 : x
  2. Step 2: Convert to fraction form
    17,904.57/24,710.57 = 10,830.97/x
  3. Step 3: Cross multiply
    17,904.57x = 24,710.57 × 10,830.97
  4. Step 4: Simplify right side
    17,904.57x = 267,639,442.35
  5. Step 5: Solve for x
    x = 267,639,442.35/17,904.57
  6. Step 6: Final answer
    x = 14,948.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.